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Simplifying -6(2x + 7) = -7 + -7x Reorder the terms: -6(7 + 2x) = -7 + -7x (7 * -6 + 2x * -6) = -7 + -7x (-42 + -12x) = -7 + -7x Solving -42 + -12x = -7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42 + -12x + 7x = -7 + -7x + 7x Combine like terms: -12x + 7x = -5x -42 + -5x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + -5x = -7 + 0 -42 + -5x = -7 Add '42' to each side of the equation. -42 + 42 + -5x = -7 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = -7 + 42 -5x = -7 + 42 Combine like terms: -7 + 42 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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